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    "### Horizon Graph\n",
    "Originally called \"two-tone pseudo-coloring\", a horizon graph increases the density of time series graphs by dividing and layering filled line charts.  \n",
    "\n",
    "Intro:  \n",
    "* We review [Sizing the Horizon: The Effects of Chart Size and Layering on the Grahpical Perception of Time Series Visualizations](http://www.vis.berkeley.edu/papers/horizon/2009-TimeSeries-CHI.pdf).  \n",
    "\n",
    "* We will use [this example](http://bl.ocks.org/mbostock/1483226) to illustrate these definitions:  \n",
    "    1. Mirror  \n",
    "    2. Offset  \n",
    "    3. Band\n",
    "    \n",
    "Outline:  \n",
    "* Problem: creating an effective presentation of multiple time series.\n",
    "* Goal: display more charts in a fixed area.\n",
    "* Reason: viewers need to quickly and reliably spot trends.  \n",
    "\n",
    "Initial thoughts?\n",
    "* [Stock example](https://bost.ocks.org/mike/cubism/intro/demo-stocks.html)."
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    "%matplotlib inline  \n",
    "import pandas as pd\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "from bokeh.charts import Horizon, output_file, show\n",
    "from bokeh.io import output_notebook\n",
    "%matplotlib inline  \n",
    "output_notebook()"
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   "source": [
    "### Visual attributes\n",
    "<img src='./img/visual_attributes.png' width=600>\n"
   ]
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   "cell_type": "markdown",
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   "source": [
    "### Line Chart\n",
    "* [Cleveland's Banking to the 45](http://www.jstor.org/stable/2288843?seq=1#page_scan_tab_contents) - aspect ratio & perception.\n",
    "*  [Related paper on Banking to the 45](http://vis.stanford.edu/files/2006-Banking-InfoVis.pdf)"
   ]
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    "### Stacked Graph\n",
    "* good: aggregate patterns\n",
    "* [Cleveland: perception of position vs length](https://www.cs.ubc.ca/~tmm/courses/cpsc533c-04-spr/readings/cleveland.pdf)"
   ]
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   "source": [
    "### Horizon Graph Code\n",
    "Using Bokeh, we can quickly build a stacked graph example."
   ]
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    "# read in some stock data from the Yahoo Finance API\n",
    "start_date = '2014'\n",
    "end_date = '2017'\n",
    "AAPL = pd.read_csv(\n",
    "    \"http://ichart.yahoo.com/table.csv?s=AAPL&a=0&b=1&c={sd}&d=0&e=1&f={ed}\".format(sd=start_date,ed=end_date),\n",
    "    parse_dates=['Date'])\n",
    "\n",
    "MSFT = pd.read_csv(\n",
    "    \"http://ichart.yahoo.com/table.csv?s=MSFT&a=0&b=1&c={sd}&d=0&e=1&f={ed}\".format(sd=start_date,ed=end_date),\n",
    "    parse_dates=['Date'])\n",
    "\n",
    "IBM = pd.read_csv(\n",
    "    \"http://ichart.yahoo.com/table.csv?s=IBM&a=0&b=1&c={sd}&d=0&e=1&f={ed}\".format(sd=start_date,ed=end_date),\n",
    "    parse_dates=['Date'])\n",
    "\n",
    "TWTR = pd.read_csv(\n",
    "    \"http://ichart.yahoo.com/table.csv?s=TWTR&a=0&b=1&c={sd}&d=0&e=1&f={ed}\".format(sd=start_date,ed=end_date),\n",
    "    parse_dates=['Date'])\n",
    "FB = pd.read_csv(\n",
    "    \"http://ichart.yahoo.com/table.csv?s=FB&a=0&b=1&c={sd}&d=0&e=1&f={ed}\".format(sd=start_date,ed=end_date),\n",
    "    parse_dates=['Date'])"
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       "      } else if (!force) {\n",
       "        var cell = $(\"#0a46b3e7-dbbd-432c-86cc-bfdf8990cd4b\").parents('.cell').data().cell;\n",
       "        cell.output_area.append_execute_result(NB_LOAD_WARNING)\n",
       "      }\n",
       "  \n",
       "    }\n",
       "  \n",
       "    if (window._bokeh_is_loading === 0) {\n",
       "      console.log(\"Bokeh: BokehJS loaded, going straight to plotting\");\n",
       "      run_inline_js();\n",
       "    } else {\n",
       "      load_libs(js_urls, function() {\n",
       "        console.log(\"Bokeh: BokehJS plotting callback run at\", now());\n",
       "        run_inline_js();\n",
       "      });\n",
       "    }\n",
       "  }(this));\n",
       "</script>"
      ]
     },
     "metadata": {},
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    }
   ],
   "source": [
    "data = dict([\n",
    "    ('AAPL', AAPL['Adj Close']),\n",
    "    ('Date', AAPL['Date']),\n",
    "    ('FB', FB['Adj Close']),\n",
    "    ('MSFT', MSFT['Adj Close']),\n",
    "    #('IBM', IBM['Adj Close']), \n",
    "    ('TWTR', TWTR['Adj Close'])]\n",
    ")\n",
    "\n",
    "hp = Horizon(data, x='Date'\n",
    "             , plot_width=800\n",
    "             , plot_height=300,\n",
    "             title=\"horizon plot using stock inputs\")\n",
    "\n",
    "#output_file(\"horizon.html\")\n",
    "\n",
    "show(hp)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "collapsed": true
   },
   "source": [
    "### Graphical Perception \n",
    "\n",
    "#### Experiments\n",
    "* Estimation speed\n",
    "* Estimation accuracy   \n",
    "\n",
    "E1: mirror vs offset (vary bands)\n",
    "1. bands\n",
    "2. offset \n",
    "3. mirrior\n",
    "\n",
    "E2: line vs horizon\n",
    "1. line chart\n",
    "2. horizon chart\n",
    "\n",
    "#### Measurement \n",
    "1. Which point is larger? [pretty much everyone got this one correct]\n",
    "2. What is the absolute difference between the values at these two points? \n",
    "\n",
    "#### Stat note\n",
    "* 80% trimmed mean per subject for each experiemental condition. \n",
    "\n",
    "#### Issues\n",
    "* test size\n",
    "* no control for screen resolution\n",
    "\n",
    "#### Results\n",
    "* 18 subjects\n",
    "* More bands, longer time\n",
    "* 2 or 3 bands, similar accuracy\n",
    "* 4 bands descreases accuracy\n",
    "<br></br>\n",
    "* less accuracy in line chart than horizon\n",
    "* accuracy most declined for line charts and 1 band horizon charts small in size\n",
    "* accuracy seems to increase with larger charts\n",
    "* layering increases estimation time, but no difference b/t line and 1 band horizon charts\n"
   ]
  },
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